3002840640 has 224 divisors, whose sum is σ = 10705551360. Its totient is φ = 792281088.

The previous prime is 3002840627. The next prime is 3002840651. The reversal of 3002840640 is 460482003.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836289 + ... + 839871.

It is an arithmetic number, because the mean of its divisors is an integer number (47792640).

Almost surely, 2^3002840640 is an apocalyptic number.

3002840640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352775680).

3002840640 is an abundant number, since it is smaller than the sum of its proper divisors (7702710720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3002840640 is a wasteful number, since it uses less digits than its factorization.

3002840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3002840640 is about 54798.1809917081. The cubic root of 3002840640 is about 1442.7046391301.

The spelling of 3002840640 in words is "three billion, two million, eight hundred forty thousand, six hundred forty".